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13808047608 = 233223139223269
BaseRepresentation
bin11001101110000011…
…00001010111111000
31022122022021111101200
430313001201113320
5211234330010413
610202054214200
7666114316365
oct146701412770
938568244350
1013808047608
1159463125a3
122814354360
1313c0911894
1494dbcb46c
1555c368573
hex3370615f8

13808047608 has 192 divisors, whose sum is σ = 39626496000. Its totient is φ = 4335116544.

The previous prime is 13808047607. The next prime is 13808047639. The reversal of 13808047608 is 80674080831.

13808047608 is a `hidden beast` number, since 1 + 38 + 0 + 8 + 0 + 4 + 7 + 608 = 666.

13808047608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13808047607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51330898 + ... + 51331166.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 213808047608 is an apocalyptic number.

13808047608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13808047608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000).

13808047608 is an abundant number, since it is smaller than the sum of its proper divisors (25818448392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13808047608 is a wasteful number, since it uses less digits than its factorization.

13808047608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13808047608 in words is "thirteen billion, eight hundred eight million, forty-seven thousand, six hundred eight".